Question

What is the diameter of a circle with the endpoints (4, 3) and (4, -3)?

a. 3

b. 4

c. 6

d. 7

Answer 1

Given the endpoints of our diameter, we can use the distance formula to find the distance between the points.

Distance Formula:

`\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2`

(
`x_2` and
`x_1` are the x-values of the coordinates and
`y_2` and
`y_1` are the y-values of the coordinates)

Inserting our values into the distance formula we can find the length of the diameter:

`√((4 - 4)^2 + (-3 - 3)^2)`

`√((-6)^2)`

`√(36) = \boxed{6}`

The diameter of our circle is 6, or choice C.